3(x+7)+2(x-5)=3(x-5)-2(x-5)

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Solution for 3(x+7)+2(x-5)=3(x-5)-2(x-5) equation: 


Simplifying
3(x + 7) + 2(x + -5) = 3(x + -5) + -2(x + -5)

Reorder the terms:
3(7 + x) + 2(x + -5) = 3(x + -5) + -2(x + -5)
(7 * 3 + x * 3) + 2(x + -5) = 3(x + -5) + -2(x + -5)
(21 + 3x) + 2(x + -5) = 3(x + -5) + -2(x + -5)

Reorder the terms:
21 + 3x + 2(-5 + x) = 3(x + -5) + -2(x + -5)
21 + 3x + (-5 * 2 + x * 2) = 3(x + -5) + -2(x + -5)
21 + 3x + (-10 + 2x) = 3(x + -5) + -2(x + -5)

Reorder the terms:
21 + -10 + 3x + 2x = 3(x + -5) + -2(x + -5)

Combine like terms: 21 + -10 = 11
11 + 3x + 2x = 3(x + -5) + -2(x + -5)

Combine like terms: 3x + 2x = 5x
11 + 5x = 3(x + -5) + -2(x + -5)

Reorder the terms:
11 + 5x = 3(-5 + x) + -2(x + -5)
11 + 5x = (-5 * 3 + x * 3) + -2(x + -5)
11 + 5x = (-15 + 3x) + -2(x + -5)

Reorder the terms:
11 + 5x = -15 + 3x + -2(-5 + x)
11 + 5x = -15 + 3x + (-5 * -2 + x * -2)
11 + 5x = -15 + 3x + (10 + -2x)

Reorder the terms:
11 + 5x = -15 + 10 + 3x + -2x

Combine like terms: -15 + 10 = -5
11 + 5x = -5 + 3x + -2x

Combine like terms: 3x + -2x = 1x
11 + 5x = -5 + 1x

Solving
11 + 5x = -5 + 1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
11 + 5x + -1x = -5 + 1x + -1x

Combine like terms: 5x + -1x = 4x
11 + 4x = -5 + 1x + -1x

Combine like terms: 1x + -1x = 0
11 + 4x = -5 + 0
11 + 4x = -5

Add '-11' to each side of the equation.
11 + -11 + 4x = -5 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = -5 + -11
4x = -5 + -11

Combine like terms: -5 + -11 = -16
4x = -16

Divide each side by '4'.
x = -4

Simplifying
x = -4

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